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第2代双正交小波的上升型构造及其应用
引用本文:张建军,施全杰,耿则勋.第2代双正交小波的上升型构造及其应用[J].测绘学院学报,2003,20(2):106-109.
作者姓名:张建军  施全杰  耿则勋
作者单位:[1]信息工程大学测绘学院,河南郑州450052 [2]许昌学院,河南许昌461000
摘    要:介绍了双正交小波分解的基本理论,并用数字滤波器的观点分析了双正交小波函数所满足的条件;讨论了双正交小波函数及滤波器的上升型构造方案,在此基础上从最简单的Haar小波基出发,通过上升型步骤构造出具有不同特性的第2代双正交小波数字滤波器;最后给出了基于第2代双正交小波变换的图像放大算法及实验结果。

关 键 词:小波变换  第2代小波  上升型方案  图像放大

Lifting Construction and Application of Second Generation Biorthogonal Wavelet
ZHANG Jian-jun ,SHI Quan-jie ,GENG Ze-xun.Lifting Construction and Application of Second Generation Biorthogonal Wavelet[J].Journal of Institute of Surveying and Mapping,2003,20(2):106-109.
Authors:ZHANG Jian-jun  SHI Quan-jie  GENG Ze-xun
Institution:ZHANG Jian-jun 1,SHI Quan-jie 2,GENG Ze-xun 2
Abstract:The basic theory of biorthogonal wavelet is introduced, and from the point of view of digital filter, the necessary conditions and lifting scheme of biorthogonal wavelet function are discussed. From Haar wavelet base, the author designes several second generation biorthogonal wavelet filters and propose an algorithm of image zoom based on above designed second generation biorthogonal wavelet filters. At last, experimental results are presented.
Keywords:wavelet transform  second generation wavelets  lifting scheme  image zoom
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